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Finding the Fourth Proportional to 774,627.78, 1,069,189.35 and 435,205.38

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Solution

The fourth proportional to 774,627.78, 1,069,189.35 and 435,205.38 is: 600,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,627.78 : 1,069,189.35 = 435,205.38 : x
  2. Step 2: Convert to fraction form
    774,627.78/1,069,189.35 = 435,205.38/x
  3. Step 3: Cross multiply
    774,627.78x = 1,069,189.35 × 435,205.38
  4. Step 4: Simplify right side
    774,627.78x = 465,316,957,358.70
  5. Step 5: Solve for x
    x = 465,316,957,358.70/774,627.78
  6. Step 6: Final answer
    x = 600,697.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.